Information on Result #703033

Linear OA(2216, 1023, F2, 45) (dual of [1023, 807, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2248, 1075, F2, 49) (dual of [1075, 827, 50]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2228, 1045, F2, 47) (dual of [1045, 817, 48]-code) [i]
3Linear OA(2243, 1060, F2, 49) (dual of [1060, 817, 50]-code) [i]
4Linear OA(2258, 1070, F2, 50) (dual of [1070, 812, 51]-code) [i]
5Linear OA(2238, 1045, F2, 49) (dual of [1045, 807, 50]-code) [i]
6Linear OA(2253, 1060, F2, 51) (dual of [1060, 807, 52]-code) [i]
7Linear OOA(2216, 341, F2, 3, 45) (dual of [(341, 3), 807, 46]-NRT-code) [i]OOA Folding
8Linear OOA(2216, 204, F2, 5, 45) (dual of [(204, 5), 804, 46]-NRT-code) [i]
9Linear OOA(2216, 170, F2, 6, 45) (dual of [(170, 6), 804, 46]-NRT-code) [i]
10Linear OOA(2216, 146, F2, 7, 45) (dual of [(146, 7), 806, 46]-NRT-code) [i]